• Title/Summary/Keyword: K-linearization

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Nonlinear control of underactuated mechanical systems via feedback linearization and energy based Lyapunov function

  • Hong, Keum-Shik;Sohn, Sung-Chul;Yang, Kyung-Jin
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.77-80
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    • 1996
  • In this paper a nonlinear control strategy via feedback linearization and energy based Lyapunov function for underactuated mechanical systems is investigated. Underactuated mechanical system is a system of which the number of actuators is less than the number of degrees of freedom. Developed algorithm is applied to a crane system of grab operation. Positioning of the trolley as well as swing-up of the pendulum to the up-right position including maintaining the sway angle at some desired degree are demonstrated. Simulations are provided.

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Optimal Guidance Law Using Exact Linearization (ICCAS 2005)

  • Ogawa, Takahiro;Uchiyama, Kenji;Shimada, Yuzo
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1228-1233
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    • 2005
  • In this paper, we present a new guidance law for a reusable launch vehicle (RLV) that lands vertically after reentry. In our past studies, a guidance law was developed for a vertical/soft landing to a target point. The guidance law, which is analytically obtained, can regenerate a trajectory against disturbances because it is expressed in the form of state feedback. However, the guidance law does not necessarily guarantee a vertical/soft landing when a dynamical system such as an RLV includes a nonlinear phenomenon owing to the atmosphere of the earth. In this study, we introduce a design of the guidance law for a nonlinear system to achieve a vertical/soft landing on the ground using the exact linearization method and solving the two-point boundary-value problem for the derived linear system. Numerical simulation confirmed the validity of the proposed guidance law for an RLV in an atmospheric environment.

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Nonlinear Attitude Control for a Rigid Spacecraft by Feedback Linearization

  • Hyochoong Bang;Lee, Jung-Shin;Eun, Youn-Ju
    • Journal of Mechanical Science and Technology
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    • v.18 no.2
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    • pp.203-210
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    • 2004
  • Attitude control law design for spacecraft large angle maneuvers is investigated in this paper. The feedback linearization technique is applied to the design of a nonlinear tracking control law. The output function to be tracked is the quaternion attitude parameter. The designed control law turns out to be a combination of attitude and attitude rate tracking commands. The attitude-only output function, therefore, leads to a stable closed-loop system following the given reference trajectory. The principal advantage of the proposed method is that it is relatively easy to produce reference trajectories and associated controller.

Heave Compensation System Design for Offshore Crane based on Input-Output Linearization

  • Le, Nhat-Binh;Kim, Byung-Gak;Kim, Young-Bok
    • Journal of Power System Engineering
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    • v.21 no.2
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    • pp.27-34
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    • 2017
  • A heave motion of the offshore crane system with load is affected by unpredictable external factors. Therefore the offshore crane must satisfy rigorous requirements in terms of safety and efficiency. This paper intends to reduce the heave displacement of load position which is produced by rope extension and sea wave disturbance in vertical motion. In this system, the load position is compensated by the winch actuator control. The rope is modeled as a mass-damper-spring system, and a controller is designed by the input-output linearization method. The model system and the proposed control method are evaluated on the simulation results.

Adaptive Control Method for a Feedforward Amplifier

  • Kang, Sang-Gee;Yi, Hui-Min;Hong, Sung-Yong
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2003.11a
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    • pp.108-112
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    • 2003
  • A feedforward amplifier, which is composed of several components, is an open loop system. Therefore, feedforward amplifiers are apt to deteriorate the performance according to the environmental changes even though the cancellation performance and the linearization bandwidth of feedforward systems are superior to other linearization methods. A control method is needed for maintaining the original performance of feedforward amplifiers or to keep the performance within a little error bounds. In this paper, an adaptive control method, which has a good convergence characteristic and is easy to implement, is suggested. The characteristics of the suggested control method compare with the characteristics of other control methods and the simulation results are presented.

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Synchronization Control of Two Hydraulic Cylinders Using Feedback Linearization Compensator and Disturbance Observer (피드백 선형화 보상기와 외란 관측기를 이용한 2개 유압 실린더의 동기 제어)

  • Kam, J.S.;Oh, D.H.;Lee, I.Y.;Kim, J.W.;Lee, H.C.
    • Journal of Drive and Control
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    • v.10 no.3
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    • pp.14-20
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    • 2013
  • In the study, a control strategy using a feedback linearization compensator and a disturbance observer was suggested and applied to the synchronization control of two hydraulic cylinders. The hydraulic system consists of a proportional directional control valve with overlap characteristic near the neutral position, a conventional hydraulic cylinder and an external load. The control performances of the system were verified through numerical simulations. From the simulations, it was ascertained that excellent control performances were obtained with the suggested control strategy.

A Study on Feedforward System for IMT-2000

  • Jeon, Joong-Sung;Choi, Dong-Muk;Kim, Min-Jung
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2005.06a
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    • pp.1176-1185
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    • 2005
  • A linear power amplifier is particularly emphasized on the system using a linear modulations, such as 16QAM and QPSK with pulse shaping, because intermodulation distortion which causes adjacent channel interference and co-channel interference is mostly generated in a nonlinear power amplifier. In this paper, parameters of a linearization loop, such as an amplitude imbalance, a phase imbalance and a delay mismatch, are briefly analyzed to get a specific cancellation performance and linearization bandwidth. Experimental results are presented for IMT-2000 frequency band. The center frequency of the feedforward amplifier is 2140 MHz with 60 MHz bandwidth. When the average output power of feedforward amplifier is 20 Watt, the intermodulation cancellation performance is more than 21 dB. In this case, the output power of feedforward amplifier reduced 3.5 dB because of extra delay line loss and coupling loss. The feedforward amplifier efficiency is more than 7.2 % for multicarrier signals, 59 dBc for ACPR.

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Nonlinear Feedback Linearization-Full Order Observer/Sliding Mode Controller Design for Improving Transient Stability in a Power System

  • Lee, Sang-Seung;Park, Jong-Keun
    • Journal of Electrical Engineering and information Science
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    • v.3 no.2
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    • pp.184-192
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    • 1998
  • In this paper, we present a nonlinear feedback linearization-full order observer/sliding mode controller (NFL-FOO/SMC), to obtain smmoth control as a linearized controller in a linear system (or to cancel the nonlinearity in a nonlinear system), and to solve the problem of the unmeasurable state variables as in the conventional SMC. The proposed controller is obtained by combining the nonlinear feedback linearization-sliding mode control (NFL-SMC) with the full order observer (FOO)and eliminates the need to measure all the state variables in the traditional SMC. The proposed controller is applied to the nonlinear power system stabilizer (PSS) for damping oscillations in a power system. The effectiveness of the proposed controller is verified by the nonlinear time-domain simulations in case of a 3-cycle line-to-ground fault and in case of the parameter variation for the AVR gain K\ulcorner and for the inertia moment M.

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Verifiable Necessary and Sufficient Conditions for Feedback Linearization of Nonlinear Systems with Outputs (다 입력 비선형 시스템의 출력을 포함한 궤환 선형화의 점검 가능한 필요 충분조건)

  • Song, Dae-Jun;Kim, Jae-Hyeon;Lee, Hong-Gi
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.9
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    • pp.58-66
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    • 1999
  • The problem of feedback linearization of SISO nonlinear systems with outputs has been solved by Lee et al. [5]. Also, Cheng et al. [1] have found the necessary and sufficient conditions for MIMO systems, which are, however, uncheckable. In this paper, we consider the MIMO nonlinear systems and obtain the verifiable necessary and sufficient conditions for feedback linearization with output.

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Sliding Mode Control based on Disturbance Observer for Magnetic Levitation Positioning Stage

  • Zhang, Shansi;Ma, Shuyuan;Wang, Weiming
    • Journal of Electrical Engineering and Technology
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    • v.13 no.5
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    • pp.2116-2124
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    • 2018
  • Magnetic levitation system with the advantages of non-contact, no friction and no wear can satisfy the requirement of high precision and high speed positioning. In this paper, magnetic levitation positioning stage which mainly consists of planar coil and HALBACH permanent magnet array and its control and driving system are designed. Magnetic levitation system is a highly nonlinear and strongly coupled complex system and its control performance can be influenced by the uncertainty and external disturbance. So exact feedback linearization method is used to realize exact linearization and decoupling, and a strategy of sliding mode control based on disturbance observer is proposed to compensate the uncertainty and external disturbance. Detailed proofs of observer's convergence property and system stability are derived. Both the simulation and experiment results verify the effectiveness of sliding mode control algorithm based on disturbance observer.